What are the domain and range of g of x equals the square root of the quantity x plus 4?

D: [4, ∞) and R: [0, ∞)
D: (–4, ∞) and R: (–∞, 0)
D: [–4, ∞) and R: [0, ∞)
D: (4, ∞) and R: (–∞, 0)

Answers

Answer 1

Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In this problem, the function is:

[tex]g(x) = \sqrt{x + 4}[/tex]

The square root function does not exist for negative values, hence the domain is represented by:

[tex]x + 4 \geq 0 \rightarrow x \geq -4[/tex]

The range of the square root function is [tex]x \geq 0[/tex], which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

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Answer 2

Answer: C) D: [–4, ∞) and R: [0, ∞)

Step-by-step explanation:




Related Questions

Please help i am confused

Answers

Answer: 18x + 12

Step-by-step explanation:

Step #1: Determine the length of each side.

The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.

Step #2: Determine the number of sides in the polygon.

This polygon is identified as a hexagon meaning it consists of 6 sides.

Step #3: Set up an expression and distribute.

       (Number of sides) x (Length of each side)

       (6)(3x+2)

6 times 3x equals positive 18x6 times 2 equals positive 12

So, the answer is 18x + 12.

Answer:

B. 3x + 2

Step-by-step explanation:

The polygon has 6 equal sides.

1 side has a side length of 3x + 2

Therefore, all sides of the polygon measure 3x + 2

Hope this helps!

Need lots of help today image below more questions to come

Answers

Answer:

I believe this is what they are asking on your problem.

Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Answers

The function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

Given functions are:

[tex]u(x)=-x+3x^{2} -8[/tex]

[tex]v(x)=2x^{2} +8x^3+9x[/tex]

[tex]y(x)=x^{2} +3x^5+4[/tex]

[tex]z(x) =7x^{2} +2x^3-3[/tex]

What is a quadratic function?

A function of the form [tex]f(x)=ax^{2} +bx+c[/tex] with [tex]a\neq 0[/tex] is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

[tex]u(x)=-x+3x^{2} -8[/tex]

Highest exponent =2

The function is also of form [tex]f(x)=ax^{2} +bx+c[/tex] so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

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Help needed! MATH FORM BELOW

Answers

Answer: 23

Step-by-step explanation:

If I am not mistaken, you should find

what times 2 plus 14 equals 60 which would be......

23

The principle quantum number value for the valance electron in the element n

Answers

Quantum numbers describe the states of electrons in their respective orbitals in an atom.

What is a Quantum number?

Quantum numbers are mathematical descriptions that show the possible states of an electron.

There are four types of quantum number

principal quantum number (n)

angular momentum quantum number (l)

magnetic quantum number (ml)

spin quantum number (ms)

The values for the principal quantum number (n) are integers greater than zero.

The values for the angular momentum quantum number (l) are integers from 0 to n - 1.

The values for the magnetic quantum number (ml) are integers from -l to l.

The values for the spin quantum number (ms) are -1/2 and 1/2.

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What is the value of x? (Please hurry)​

Answers

Answer:

8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

Answer:   8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

What weighs more 5kg of feathers or 5kg of steel

Answers

Answer:

both weigh the same.

Step-by-step explanation:

you have 5kg of steel and 5kg feathers.

The weight is the same so both weigh the same.

PLEASE ANSWER QUICKLY!!! Find the area of the following shape

Answers

Answer:

  30 cm²

Step-by-step explanation:

You want to know the area of the given shape.

Parallelogram

The formula for the area of a parallelogram is ...

  A = bh

A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.

The area of the figure is ...

  A = 2 × (5 cm)(3 cm) = 30 cm²

__

Additional comment

If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².

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three boxes under my stairs contain apples or pears are both each box contains the same number of pieces of fruit the first box contains all 12 of the apples and 1 /9th of the pears how much of the fruit are there in each box​

Answers

There are 16 fruits in each of the boxes found under the stairs.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of pears, hence:

Number of fruit in first box = 12 + (1/9)x

Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x

Therefore:

12 + (1/9)x = (4/9)x

x = 36

First box = second box = third box = (4/9) * 36 = 16

There are 16 fruits in each of the boxes found under the stairs.

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solve pls brainliest

Answers

Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

Exact Form:

3

75

5

Decimal Form:

0.84343266

Answer:

[tex]\frac{27}{125}[/tex]

Step-by-step explanation:

[tex](\frac{3}{5})^{3}[/tex] is [tex]\frac{3^{3}}{5^{3}}[/tex]

[tex]3^{3} = 27[/tex] and [tex]5^{3} = 125[/tex]

[tex]\frac{27}{125}[/tex]

Which equation matches the table TOP: 4,8,12,16 BOTTOM:8,12,16,20

Answers

Answer:

C. b= a+4

Step-by-step explanation:

Which statement is true about the discontinuities of the function f(x)? f (x) = StartFraction x 1 Over 6 x squared minus 7 x minus 3 EndFraction.

Answers

An asymptote is a straight line that approaches a curve indefinitely but does not intersect at any point. There are asymptotes at t [tex]\dfrac{3}{2}\rm\ and\ \dfrac{-1}{3}[/tex].

What is an asymptote?

An asymptote is a straight line that approaches a curve indefinitely but does not intersect at any point. In other words, when a curve approaches infinity, it approaches an asymptote line.

The function that is given to us is:

[tex]f(x)=\dfrac{x+1}{6x^2-7x-3}[/tex]

As in the function, there is a fraction therefore, the denominator should not be zero in order for the function to be defined. Therefore, there are asymptotes at

[tex]6x^2-7x-3 = 0\\[/tex]

Substituting the value in the formula of the quadratic equation we will get,

[tex]D=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\D = \dfrac{-(-7)\pm\sqrt{(-7)^2-4(6)(-3)}}{2(6)}\\\\D =\dfrac{-(-7)\pm\sqrt{11}}{12} = \dfrac{3}{2}, \dfrac{-1}{3}[/tex]

Thus, there are asymptotes at  [tex]\dfrac{3}{2}\rm\ and\ \dfrac{-1}{3}[/tex].

Learn more about Asymptotes:

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A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth.

Answers

Answer:

18.3

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

a, b = legs

c = hypotenuse

17^2 + b^2 = 25^2

b = 18.3

hello people ~
factorise: x ^ 2 = 17x + 60​

Answers

Answer:

[tex]\rightarrow \sf x^2=\:17x\:+\:60[/tex]

change sides

[tex]\rightarrow \sf x^2 -17x -60 = 0[/tex]

breakdown, (60 : 20 * 3)

[tex]\rightarrow \sf x^2 -20x +3x-60 = 0[/tex]

factor the following

[tex]\rightarrow \sf x(x -20) +3(x-20) = 0[/tex]

collect into groups

[tex]\rightarrow \sf (x +3)(x-20) = 0[/tex]

final answer

[tex]\rightarrow \sf x=-3, \ 20[/tex]

Answer:

(x-20) (x+3) =0

Step-by-step explanation:

x ^ 2 = 17x + 60​

Subtract 17x from each side

x ^ 2 - 17x = 60​

Subtract 60 from each side

x ^ 2 - 17x - 60=0

What 2 numbers multiply by -60 and add to -17

-20 * 3 = -60

-20 +3 = -17

(x-20) (x+3) =0

Seven more than the quotient of a number b and 45 is greater than 5.

Answers

Answer/Step-by-step explanation:

Given:

Seven more than the quotient of a number b and 45 is greater than 5

So:

Seven more than the quotient of a number b and 45 is greater than 5

=

7 + b/45 > 5

Solve if needed:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]

[tex]7+\frac{b}{45}-7 > 5-7[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{b}{45} > -2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]

[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]b > -90[/tex]

~Lenvy~

The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?

Answers

The length of the rectangle is 30

Gabe's math class starts at 12:15 P.M. and lasts for 1 hour and 30 minutes. After math class, Gabe has recess for 15 minutes. What time does Gabe's recess end?
please help n explain ily

Answers

Answer:

Ends at 2:00

Step-by-step explanation:

12:15 + 1:30 = 13:45.

13:45 + 00:15 = 14:00

14 - 12 = 2

Recess ends at 2:00

Answer:

2p

Step-by-step explanation:

ok so 12:15 + 1 hour = 1:15pm

1:15pm + 30 minutes = 1:45pm

so that's the time that class ends at.

now Gabe has recess for 15 minutes.

so 1:45pm + 15 minutes = 2pm

Gabe's recess finishes at 2pm

hope that helps : )

Simplify (3×2-2) + (5×2+5×-1)

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}[/tex]

(3×2-2)+(5×2+5×-1)=

(6-2)+(10-5)=

4+5=

[tex] \bf \textcolor{green}{ \underbrace{9}}[/tex]

xLasersx✨

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))[/tex]

Use BODMAS/PEDMAS rule here :

[tex]\qquad \sf  \dashrightarrow \:(6- 2) + (10 + ( - 5))[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + (10 - 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:9[/tex]

Hope it helps you ~

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Which expression is a factored form of 2x2
25x + 63?

Answers

The expression of  the factored form of 2x2+25x + 63 is mathematically given as

(x+7)(2x+7)

What is the expression of  the factored form of 2x2+25x + 63?

Question Parameter(s):

Expression 2x^2+25x + 63?

The expression of the factored form will bear the roots of the expression repressented  in standard form

Generally, the equation for the expression   is mathematically given as

2x^2+25x + 63?

Therefore

2x^2+25x + 63?

x(2x+7)+9(2x+7)

(x+7)(2x+7)

In conclusion, The expression is

(x+7)(2x+7)

Read more about Arithmetic

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PLEASEEEE HELP ME ILL GIVE YOU BRAINIEST!!

Answers

Answer:

48 in³

       volume of triangular prism: Base Area * Height

Base Area:

[tex]\hookrightarrow \sf \dfrac{1}{2} *base*height[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} *3*8[/tex]

[tex]\hookrightarrow \sf 12 \ in^2[/tex]

Volume:

[tex]\hookrightarrow \sf 12 * 4[/tex]

[tex]\hookrightarrow \sf 48 \ in^3[/tex]

What is -4x^2-6x-4 in vertex form?

Answers

[tex]y = - 4 ({x + \frac{3}{4} })^{2} - \frac{7}{4} \\ [/tex]

The triangle is not necessarily drawn to scale, and the angles can vary. Create a compound inequality for the side length x using the Triangle Inequality.

A. 2 < x < 12
B. 5 < x < 7
C. 5 < x < 12
D. 2 < x < 7

Answers

Answer:

A

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12


HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST

PLEASE SHOW HOW YOU GOT THE ANSWER!

Answers

Answer:

4.04

Step-by-step explanation:

I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66

The volume would be about    [tex]4ft^2[/tex]

What is the value of q in the equation 59 - 10 = 75? ​

Answers

Answer:

[tex]\bf A)\;17[/tex]

Step-by-step explanation:

[tex]\tt 5q-10=75[/tex]

[tex]\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides[/tex]

[tex]\tt 5q=85\;\;\;\bf Simplify[/tex]

[tex]\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5[/tex]

[tex]\tt q=17\;\; \;\bf Answer[/tex]

------ " ☆ "

Please help! : )
What are the two acute angles?

Answers

Hiya
I’d use SOHCAHTOA to work this out
Angle BAD =
AB = adjacent
BD = opposite
Tan (BAD) = AB/ BD
Put this in your calculator to get angle BAD
Angle BDA=
BD = adjacent
AB = opposite
Tan (BDA) = AB/BD

Mr. Polland has a square bulletin board where he posts pictures from previous
performances. If the bulletin board has a side that measures 19ft, how much space
does Mr. Polland have to post pictures?

Answers

Mr. Polland has 361 square feet of space to post pictures.

Explanation:
Because it’s a square, each side is equal in length. Finding area of a square means you multiply the length by the width. Because the length and width age equal here, the equation is ((19*19=361)). You also multiply the units together, so your units are square feet.

CAN SOMEBODY HELP ME SOLVE THIS The diameter of a cylinder is 1 yd. The height is 12 yd. What is the volume of the cylinder

Answers

Answer:

7.21

Hope it helps!!!Brainliest pls!!!

What is the slope of the line containing the points (-1, -2) and (3, -5)? A. B. C. D.

Answers

Answer:

-7/4

Step-by-step explanation:

(-1,2) (3,-5)

x1 y1 x2 y2

-5-2=-7

3-(-1)=4

-7/4

Failing to reject a false null hypothesis is classified as a.

Answers

Answer:

it classified as a

error.

Step-by-step explanation:

In a recent year, 27.6% of all registered doctors were female. If there were 59,100 female registered doctors that year, what was the total number of registered doctors?

Answers

Answer:

214130

Step-by-step explanation:

27.6 /100 = 59100 / x

x = 214130

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